Isogeny class 20.1-c contains
4 curves linked by isogenies of
degrees dividing 4.
| Curve label |
Weierstrass Coefficients |
| 20.1-c1
| \( \bigl[\frac{1}{2} a^{2} + \frac{1}{2} a - 3\) , \( -\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( -\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{5}{2}\) , \( -410 a^{3} - 1417 a^{2} + 566 a + 1947\) , \( -\frac{224559}{8} a^{3} - 95800 a^{2} + \frac{309087}{8} a + \frac{263729}{2}\bigr] \)
|
| 20.1-c2
| \( \bigl[\frac{1}{2} a^{2} + \frac{1}{2} a - 3\) , \( -\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( -\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{5}{2}\) , \( \frac{5}{4} a^{3} + \frac{11}{2} a^{2} + \frac{9}{4} a - 8\) , \( -\frac{189}{8} a^{3} - 80 a^{2} + \frac{277}{8} a + \frac{219}{2}\bigr] \)
|
| 20.1-c3
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( -\frac{1}{4} a^{3} - \frac{1}{2} a^{2} + \frac{15}{4} a + 4\) , \( -\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{5}{2}\) , \( -\frac{15}{4} a^{3} - 18 a^{2} + \frac{63}{4} a + 34\) , \( -\frac{97}{4} a^{3} - 101 a^{2} + \frac{161}{4} a + 144\bigr] \)
|
| 20.1-c4
| \( \bigl[-\frac{1}{8} a^{3} + \frac{17}{8} a + \frac{1}{2}\) , \( -\frac{1}{4} a^{3} - \frac{1}{2} a^{2} + \frac{15}{4} a + 4\) , \( -\frac{1}{8} a^{3} + \frac{1}{2} a^{2} + \frac{13}{8} a - \frac{5}{2}\) , \( -\frac{15}{2} a^{3} - 43 a^{2} - \frac{41}{2} a + 19\) , \( \frac{179}{2} a^{3} + \frac{653}{2} a^{2} - 71 a - 391\bigr] \)
|
Rank: \( 0 \)
\(\left(\begin{array}{rrrr}
1 & 4 & 2 & 4 \\
4 & 1 & 2 & 4 \\
2 & 2 & 1 & 2 \\
4 & 4 & 2 & 1
\end{array}\right)\)
